PROFIL PRACOWNIKA: Anna Michalak

2010 - Obrona rozprawy doktorskiej pt. "Dualne podejście do problemu stabilności typu Lapunowa" i uzyskanie stopnia doktora nauk matematycznych
2004 - 2008 studia doktoranckie na Wydziale Matematyki Uniwersytetu Łódzkiego
2004 - magisterium, tytuł pracy magisterskiej: "Zastosowanie sztucznych sieci neuronowych do przewidywania ryzyka zawału serca"
1999 - 2004 studia magisterskie na Wydziale Matematyki Uniwersytetu Łódzkiego ukończone w gronie 5% najlepszych absolwentów Uniwersytetu Łódzkiego

• Stabilność równań różniczkowych
• Analiza niegładka
• Optymalizacja wielowartościowa

PUBLIKACJE:

• "New approach to fixed-time stability of a nonlinear system" (Anna Michalak, Andrzej Nowakowski) Nonlinear Analysis: Hybrid Systems (2023)
• "Finite-time and fixed-time stability analysis for time-varying systems: a dual approach" (Anna Michalak) Journal of the Franklin Institute (2022)
• "Dual Lyapunov approach to finite time stability for parabolic PDE" (Anna Michalak, Andrzej Nowakowski) Dynamics of Partial Differential Equations (2022)
• "Finite-time and fixed-time stabilization by dual closed-loop controllers" (Anna Michalak, Andrzej Nowakowski) Optimal Control Applications and Methods (2022)
• "Higher-order optimality conditions in set-valued optimization with respect to general preference mappings" (Anna MIchalak, Marcin Studniarski), Set-Valued and Variational Analysis (2022)
• "Fixed-time stability of ODE and fixed-time stability of neural network" (Anna Michalak, Andrzej Nowakowski), International Journal of Control (2021)
• "Necessary and Sufficient Conditions for Robust Minimal Solutions in Uncertain Vector Optimization" (Anna Michalak, Aleksandra Stasiak, Marcin Studniarski), Journal of Optimization Theory and Applications (2020)
• "A characterization of Q-minimal solutions in set-valued optimization in terms of radial derivatives" (Anna MIchalak, Marcin Studniarski), 2017 International Conference on Control, Artificial Intelligence, Robotics & Optimization (2017)
• "Optimality conditions and duality results for a class of differentiable vector optimization problems with the multiple interval-valued objective function" (Anna Michalak, Tadeusz Antczak), 2017 International Conference on Control, Artificial Intelligence, Robotics & Optimization (2017)
• "Finite-time stability and finite-time synchronization of neural network – Dual approach" (Anna Michalak, Andrzej Nowakowski), Journal of the Franklin Institute (2017)
• "The η-approximation method for nonconvex multiobjective variational problems" (Anna Michalak, Tadeusz Antczak), Numerical Functional Analysis and Optimization (2017)
• "Higher-order conditions for local equilibria in a discontinuous Gale economic model" (Anna Michalak, Marcin Studniarski), Control and Cybernetics (2017)
• "Necessary and sufficient conditions for a Pareto optimal allocation in a discontinuous Gale economic model" (Anna Michalak, Marcin Studniarski), Opuscula Mathematica (2014)
• "Dual approach to Lyapunov stability" (Anna Michalak), Nonlinear Analysis: T.M.A. (2013)
• "The converse Lyapunov's theorem for ODE's of Carathéodory type” (Anna Michalak, Marta Grzanek, Andrzej Rogowski), Nonlinear Analysis: T.M.A. (2012)
• "A nonsmooth Lyapunov function and stability for ODE's of Caratheodory type” (Anna Michalak, Marta Grzanek, Andrzej Rogowski), Nonlinear Analysis: T.M.A. (2007)
• "Artificial neural networks are a potential tool for estimating prognosis in coronary artery disease are standard algorithms sufficient?" (Jaroslaw D Kasprzak, Anna Michalak, Andrzej Nowakowski, Jaroslaw Drozdz, Maria Krzeminska-Pakula), JOURNAL OF THE AMERICAN COLLEGE OF CARDIOLOGY (2007)
• "Artificial neural networks are a potential tool for estimating prognosis in coronary artery disease-preliminary experience" (JD Kasprzak, A Michalak, A Nowakowski), EUROPEAN HEART JOURNAL (2006)
• "Zastosowanie sztucznych sieci neuronowych do przewidywania ryzyka zawału serca" (Anna Michalak) (2005)